Re: Operator ambiguity, Escultura
From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 11/28/04
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Date: Sun, 28 Nov 2004 22:53:00 +0000
Richard Tobin wrote:
>>Only after that you can state that "in the domain of complex numbers,
>>the square root of the product is not equal to the product of the square
>>roots".
>
>>So, I repeat my question: how do you define "the square root" in the
>>domain of complex numbers?
>
> Any definition of which root is *the* root will have the problem
> stated, so the statement is true regardless of which definition you
> use.
I know that. I just wanted to know which definition was N. Silver
thinking about when he wrote that "in the domain of complex numbers,
the square root of the product is not equal to the product of the square
roots". Note that he did not add "regardless of which definition you
use".
Best regards,
Jose Carlos Santos
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